RPM To Linear Velocity Calculator

Linear Velocity Formula:

\[ V = \frac{\pi \times D \times RPM}{60} \]

Linear Velocity (m/s):

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1. What is an RPM to Linear Velocity Calculator?

Definition: This calculator converts rotational speed (RPM) to linear velocity (m/s) based on the diameter of the rotating object.

Purpose: It helps engineers, mechanics, and technicians determine the linear speed at the edge of rotating machinery like wheels, gears, or pulleys.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = \frac{\pi \times D \times RPM}{60} \]

Where:

\( V \) — Linear velocity (meters/second)
\( D \) — Diameter of rotating object (meters)
\( RPM \) — Rotational speed (revolutions per minute)
\( \pi \) — Mathematical constant (~3.14159)

Explanation: The formula calculates the distance traveled per revolution (circumference) and converts RPM to revolutions per second.

3. Importance of Linear Velocity Calculation

Details: Knowing linear velocity is crucial for designing mechanical systems, determining belt speeds, calculating conveyor throughput, and ensuring safe operating speeds.

4. Using the Calculator

Tips: Enter the diameter in meters and RPM value. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 60 in the formula?
A: This converts revolutions per minute (RPM) to revolutions per second (RPS).

Q2: Can I use this for any rotating object?
A: Yes, as long as you know the diameter and RPM, this works for wheels, gears, pulleys, etc.

Q3: What if my diameter is in different units?
A: Convert to meters first (1 inch = 0.0254 meters, 1 cm = 0.01 meters).

Q4: How accurate is this calculation?
A: It's theoretically exact, assuming no slippage and perfect circular motion.

Q5: What's the relationship between RPM and speed?
A: Linear speed increases proportionally with both diameter and RPM.